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A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field a the centre O in tesla is ______. -

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Question

A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field a the centre O in tesla is ______.

Options

  • `(mu_0"I"theta)/(4pi"r")`

  • `(mu_0"I"theta)/(2pi"r")`

  • `(mu_0"I"theta)/(2"r")`

  • `(mu_0"I"theta)/(4"r")`

MCQ
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Solution

A current of I ampere flows in a wire forming a circular arc of radius r metres subtending an angle θ at the centre as shown. The magnetic field a the centre O in tesla is `underlinebb((mu_0"I"theta)/(4pi"r"))`.

Explanation:

B = `(mu_0"I")/(2"r")xxtheta/(2pi)`

= `(mu_0"I"theta)/(4pi"r")`

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Magnetic Fields Due to Electric Current
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